No-twos subgroup temperaments: Difference between revisions
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{{Mapping|legend=2|1 3 3|0 -5 -4}} | {{Mapping|legend=2|1 3 3|0 -5 -4}} | ||
Sval mapping generators: ~3, ~7/5 | Sval mapping generators: ~[[3/1|3]], ~[[7/5]] | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
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[[Optimal ET sequence]]: [[13edt|b13]], [[62edt|b62]], [[75edt|b75]], [[88edt|b88]], [[101edt|b101]], [[114edt|b114]], [[355edt|b355]], [[469edt|b469]], [[583edt|b583]], [[697edt|b697]] | [[Optimal ET sequence]]: [[13edt|b13]], [[62edt|b62]], [[75edt|b75]], [[88edt|b88]], [[101edt|b101]], [[114edt|b114]], [[355edt|b355]], [[469edt|b469]], [[583edt|b583]], [[697edt|b697]] | ||
Badness (Dirichlet): 0.100 | |||
=== Suhail === | |||
Tempering out the 3.13-subgroup [[threedie]] splits the tritave into three, meeting 11/1 at seven generators after tempering out the [[sopreisma]]. | |||
[[Subgroup]]: 3.5.7.11.13 | |||
[[Comma list]]: 1575/1573, 1625/1617, 4459/4455 | |||
{{Mapping|legend=2|3 4 5 6 7|0 5 4 7 0}} | |||
Sval mapping generators: ~[[13/9]], ~[[65/63]] | |||
Generator tunings: | |||
: {| class="wikitable right-1" | |||
|- | |||
! | |||
! [[WE]] | |||
! [[TE]] | |||
|- | |||
| [[Optimization|Optimized]] | |||
| 634.144, 49.695 | |||
| 634.1448, 49.6946 | |||
|- | |||
| [[Constrained_tuning|Constrained]] | |||
| 1\b3 = 633.985, 49.733 | |||
| 1\b3 = 633.985, 49.839 | |||
|- | |||
| [[POTE|Destretched]] | |||
| 1\b3 = 633.985, 49.6825 | |||
| 1\b3 = 633.985, 49.6821 | |||
|} | |||
[[Optimal ET sequence]]: [[39edt|b39]], [[114edt|b114]], [[153edt|b153]], [[198edt|b498cf]], [[651edt|b651cf]] <!-- b804cff is not a GPV --> | |||
Badness (Dirichlet): 0.330 | |||
== Izar == | == Izar == | ||
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[[Support]]ing [[ET]]s: {{EDs|b13, b11cd, b193, b15cd, b180, b24c, b167, b37c, b154, 141, b50c, b28cd, b128, b63c|equave=t}} | [[Support]]ing [[ET]]s: {{EDs|b13, b11cd, b193, b15cd, b180, b24c, b167, b37c, b154, 141, b50c, b28cd, b128, b63c|equave=t}} | ||
Badness (Dirichlet): 0.017 | |||
== Nekkar == | == Nekkar == | ||
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[[Support]]ing [[ET]]s: 22, 49, 5c, 71, 27, 17c, 120, 93, 76c, 32cc, 169d, 115, 191d, 164d | [[Support]]ing [[ET]]s: 22, 49, 5c, 71, 27, 17c, 120, 93, 76c, 32cc, 169d, 115, 191d, 164d | ||
Badness (Dirichlet): 17.120 | |||
=== 3.5.7.11 subgroup === | === 3.5.7.11 subgroup === | ||
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[[Support]]ing [[ET]]s: 22, 49, 71, 5c, 27, 120, 93, 17c, 76c, 169d, 191d, 115, 164d, 125cd | [[Support]]ing [[ET]]s: 22, 49, 71, 5c, 27, 120, 93, 17c, 76c, 169d, 191d, 115, 164d, 125cd | ||
Badness (Dirichlet): 1.375 | |||
=== 3.5.7.11.13 subgroup === | === 3.5.7.11.13 subgroup === | ||
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[[Support]]ing [[ET]]s: 22, 5c, 27, 49, 71f, 17cf | [[Support]]ing [[ET]]s: 22, 5c, 27, 49, 71f, 17cf | ||
Badness (Dirichlet): 1.723 | |||
== Sirius == | == Sirius == | ||
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[[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]], [[123edt|b123]], [[136edt|b136]] | [[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]], [[123edt|b123]], [[136edt|b136]] | ||
Badness (Dirichlet): 0.213 | |||
=== Remus === | === Remus === | ||
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[[Support]]ing [[ET]]s: 39, 7, 32, 71, 110, 46, 149, 188, 181 | [[Support]]ing [[ET]]s: 39, 7, 32, 71, 110, 46, 149, 188, 181 | ||
Badness ( | Badness (Dirichlet): 0.286 | ||
=== Mizar === | === Mizar === | ||